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SL 4.5—Trial and outcome - IB Questionbank | RevisionDojo

Practice SL 4.5—Trial and outcome with authentic IB Mathematics Applications & Interpretation (AI) exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of IB examiners.

Paper

Level

Question 1

SLPaper 1

Events $A$ and $B$ are independent with ${\text{P}}(A \cap B) = 0.2$ and ${\text{P}}(A$ .

Find ${\text{P}}(B)$ .

[2]

Find ${\text{P}}(A \cup B)$ .

[4]

Question 2

SLPaper 1

A group of 130 applicants applied for admission into either the Arts programme or the Sciences programme at a university. The outcomes of their applications are shown in the following table.

	Accepted	Rejected
Arts programme	17	24
Sciences programme	25	64

Find the probability that a randomly chosen applicant from this group was accepted by the university.

[1]

An applicant is chosen at random from this group. It is found that they were accepted into the programme of their choice. Find the probability that the applicant applied for the Arts programme.

[2]

Two different applicants are chosen at random from the original group. Find the probability that both applicants applied to the Arts programme.

[3]

Question 3

SLPaper 1

The Home Shine factory produces light bulbs, 7% of which are found to be defective.

Francesco buys two light bulbs produced by Home Shine.

The Bright Light factory also produces light bulbs. The probability that a light bulb produced by Bright Light is not defective is $a$ .

Deborah buys three light bulbs produced by Bright Light.

Write down the probability that a light bulb produced by Home Shine is not defective.

[1]

Find the probability that both light bulbs are not defective.

[2]

Find the probability that at least one of Francesco’s light bulbs is defective.

[2]

Write down an expression, in terms of $a$ , for the probability that at least one of Deborah’s three light bulbs is defective.

[1]

SL 4.5—Trial and outcome Questionbank